Question

sin A= 1/2 cos B= 1/2 tan (A+B)​

Answer 1

Answer:

$\sf \: sin \: A = \frac{1}{2} \\ \\ \sf \implies Sin \: A = sin \: 30° \\ \\ \sf \implies\: A = 30° \: \: \: \: \: \: \: \: \: ----(1) \:$

$\sf \: cos \: B = \frac{1}{2} \\ \\ \sf\implies cos \: B = Cos \:60° \\ \\ \sf\implies B = 60° ----(2)$

Now,

$\sf \: Value \: of \: (A+B) \\ \\ \sf \implies 30°+60° \: \: \: \: \: \: \: [ from \: (1) \: and \: (2) ] \\ \\\sf \implies = 90° \\ \\ \\\sf \red{A+B = 90°}$